Nonlinearity of Piano hammers help

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Discussion Overview

The discussion revolves around the nonlinearity of piano hammers, specifically focusing on planning an experiment to measure the compression of felt in relation to the force applied, as described in a referenced academic paper. The scope includes experimental design and understanding of underlying concepts related to the physics of piano hammers.

Discussion Character

  • Exploratory
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant seeks assistance in planning an experiment on the nonlinearity of piano hammers, referencing a specific academic paper.
  • Another participant encourages asking specific questions to clarify difficulties in understanding the concepts presented in the paper.
  • A third participant expresses surprise at the complexity of the paper for a high school assignment and supports the idea of asking detailed questions.
  • A participant raises a specific question about measuring the compression of felt in the context of the equation F=K*c^p, indicating challenges in designing a lab to find this compression.
  • One participant notes findings from the referenced paper regarding dynamic measurements of force and felt compression, mentioning typical values of p for voiced piano hammers.

Areas of Agreement / Disagreement

Participants generally agree on the need for specific questions to facilitate understanding, but there is no consensus on the experimental design or methods for measuring felt compression.

Contextual Notes

Participants express varying levels of familiarity with the subject matter, indicating potential gaps in understanding key concepts and experimental methods. The discussion reflects a reliance on the referenced paper for foundational information.

Who May Find This Useful

Students and educators interested in experimental physics, particularly in the context of musical instruments and material properties, may find this discussion relevant.

dsds1000
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I am doing a research essay in high school on researching the nonlinearity of piano hammers, but I am stuck on planning the experiment. Basically my topic is like this paper http://paws.kettering.edu/~drussell/Publications/pianohammer.pdf. However, since I am only in high school, I have trouble understanding some of the concepts, and that is why I cannot plan an experiment. I tried to ask a teacher, but this is a supposed to be an independent research essay and I am not allowed help from the school staff. So, any help would be greatly appreciated! Thanks!
 
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Would you mind reading through it and asking specific questions as you come across things you're having difficulty understanding?
 
Wow. I was looking at the paper cited and the references listed.
This is a high school assignment? Yikes.
Anyway, you came to the right place if you can ask specific questions like Pythagorean suggests.
 
The main question I have is how to measure the compression of the felt in the equation F=K*c^p. (where c is compression of the felt). I am having trouble in designing this lab around finding the compression of felt. If anyone could help that would be great
 
I do not know this subject at all, but I did see these statements in the paper you cited, page1. You probably already read this:

"Dynamic measurements of the force and felt compression,
observed during the impact between a piano hammer and a
rigidly fixed string, have been obtained by Suzuki [6, 7],
Boutillon [8], and Yanagisawa and Nakamura [9]. Data may
be fit rather well to Eq.(1), with typical values of p ranging
from 2.3 to 3.6 for voiced piano hammers."
 

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